Search a number
-
+
10220322112002 = 2323715345828997
BaseRepresentation
bin1001010010111001101010…
…1010110100001000000010
31100012001102211011012011200
42110232122222310020002
52314422204430041002
633423052352322030
72103252052401252
oct224563252641002
940161384135150
1010220322112002
113290461430802
121190925243316
13591a067c2932
142749481c3962
1512acc255db1c
hex94b9aab4202

10220322112002 has 24 divisors (see below), whose sum is σ = 22742518575036. Its totient is φ = 3314699063136.

The previous prime is 10220322111971. The next prime is 10220322112009. The reversal of 10220322112002 is 20021122302201.

10220322112002 is a `hidden beast` number, since 1 + 0 + 220 + 32 + 211 + 200 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9720234117441 + 500087994561 = 3117729^2 + 707169^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10220322112009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7672913833 + ... + 7672915164.

Almost surely, 210220322112002 is an apocalyptic number.

10220322112002 is an abundant number, since it is smaller than the sum of its proper divisors (12522196463034).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10220322112002 is a wasteful number, since it uses less digits than its factorization.

10220322112002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15345829042 (or 15345829039 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10220322112002 its reverse (20021122302201), we get a palindrome (30241444414203).

The spelling of 10220322112002 in words is "ten trillion, two hundred twenty billion, three hundred twenty-two million, one hundred twelve thousand, two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 15345828997 30691657994 46037486991 92074973982 138112460973 276224921946 567795672889 1135591345778 1703387018667 3406774037334 5110161056001 10220322112002